Open Access

Iterative Algorithms for Nonexpansive Mappings

Fixed Point Theory and Applications20072008:384629

DOI: 10.1155/2008/384629

Received: 13 September 2007

Accepted: 25 November 2007

Published: 24 December 2007

Abstract

We suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.

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Authors’ Affiliations

(1)
Department of Information Management, Cheng Shiu University
(2)
Department of Mathematics, Tianjin Polytechnic University

Copyright

© Y.-C. Liou and Y. Yao. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.